126026500 has 48 divisors (see below), whose sum is σ = 276559920. Its totient is φ = 50169600.

The previous prime is 126026473. The next prime is 126026503. The reversal of 126026500 is 5620621.

It can be written as a sum of positive squares in 8 ways, for example, as 104571076 + 21455424 = 10226^2 + 4632^2 .

It is not an unprimeable number, because it can be changed into a prime (126026503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134032 + ... + 134968.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2^126026500 is an apocalyptic number.

126026500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126026500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138279960).

126026500 is an abundant number, since it is smaller than the sum of its proper divisors (150533420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126026500 is a wasteful number, since it uses less digits than its factorization.

126026500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 126026500 is about 11226.1525020819. The cubic root of 126026500 is about 501.3649371691.

The spelling of 126026500 in words is "one hundred twenty-six million, twenty-six thousand, five hundred".